Since the main purpose of this work is to probe the potentiality of future GW measurements, it can be assumed that the problems of the GRB explosion will be solved in the next few decades, and the GRBs observation can be used as a complementary tool for SNIa measurements. In this work, in order to doge any systematic impact while combining the SNIa data with the GRB data, SNIa and GRB data are simulated from a flat \(\Lambda \) CDM. 137 deta points from the GRB compilation in the redshift range \(1<z<5\)  are added to Pantheon SNIa data to test cosmic opacity. The redshifts and uncertainties are taken from the actual Pantheon [1]} and GRBs compilation [2]}. The fiducial LDs (\(D_{\rm L}^{\rm fid}\) ) of the mock data are obtained from a known flat \(\Lambda \) CDM with the most recent Planck results [3]},

h0=0.678,   m=0.308,


where \(H_0=100 h_0{\rm km s^{-1}Mpc^{-1}}\)  denotes the present Hubble constant.
The measurements of LD (\(D_{\rm L}\) ) can be derived from the random normal distribution through the equation \(D_{\rm L}=\mathcal {N}(D_{\rm L}^{\rm fid}, \sigma _{D_{\rm L}})\) . The mock SNIa and GRB data refer to `SNIa-like' and `GRB-like' data, respectively. The simulated method has been applied in discussing the estimation of the Hubble parameter with different background expansion model [4]}. Our simulated results are presented in the left panel of Fig. REF .
